On Overall Measure of Non-classicality of N-level Quantum System and Its Universality in the Large N Limit
| Autor: | Arsen Khvedelidze, Vahagn Abgaryan, I. Rogojin |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Distributed Computer and Communication Networks ISBN: 9783030664701 DCCN |
| DOI: | 10.1007/978-3-030-66471-8_20 |
| Popis: | In this report we are aiming at introducing a global measure of non-classicality of the state space of N-level quantum systems and estimating it in the limit of large N. For this purpose we employ the Wigner function negativity as a non-classicality criteria. Thus, the specific volume of the support of negative values of Wigner function is treated as a measure of non-classicality of an individual state. Assuming that the states of an N-level quantum system are distributed by Hilbert-Schmidt measure (Hilbert-Schmidt ensemble), we define the global measure as the average non-classicality of the individual states over the Hilbert-Schmidt ensemble. We present the numerical estimate of this quantity as a result of random generation of states, and prove a proposition claiming its exact value in the limit of \(N\rightarrow \infty \). |
| Databáze: | OpenAIRE |
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